Imagine an experiment wherein participants were told of a previously unknown tribe living on a pacific island. only one member of this tribe had been observed so far, and he was found to be obese. when asked how likely it was that all members of the tribe were obese, participants were unwilling to extrapolate this information. this shows that participants

From a statistical point of view, participants do not have enough information. To extrapolate statistical data, at least 30 subjects should be observed to make an inference, considering the traditional quantitative analysis and using the central limit theorem.

Explanation:

The central limit theorem, indicates that, in very general conditions, if Sn is the sum of n random independent variables and of not null but finite variance, then the function of distribution of Sn approximates to a normal distribution or Gauss distribution, therefore, the number of variables is quite enough in size to establish that the sample shares “normally” a characteristic such as “being obese” in the example referred regarding the tribe on the pacific island.